Academic Year 2017-2018
Advanced Fluid Mechanics
Transition to turbulence & turbulence - Applications to thermoconvection, aerodynamics & wind energy
This module is given by E. Plaut (EP) and J. Peinke (JP).
Find here a complete version of our lecture notes.
Hereafter we give the planning and a few information.
During the sessions, and during the examination, we use Mathematica (or Matlab) : bring your laptop with Mathematica (or Matlab).
Nous remercions la Fondation Mines Nancy et le programme Erasmus+ pour leur soutien, qui nous permet d'inviter J. Peinke à donner 3 sessions dans ce module, ainsi qu'une conférence générale.
Natural thermoconvection, Rayleigh - Bénard thermoconvection: linear stability analysis with slip boundary conditions
[ essential of the video presentation ]
Personal homework 1 due by January 8, 2018 (EP)
At the very beginning of session 2 on Monday,
January 8, give me
an hand-written personal solution of exercise 1.1.
Scoring scale:
Q. 1: 4 P ; Q. 2: 6 P ; 1 P of bonus if you use good english.
Vous avez le droit de rédiger en français...
S2 January 8, 2018 (EP)
Rayleigh - Bénard thermoconvection with slip boundary conditions: linear and weakly nonlinear stability analysis
Preparation of session 2:
[ essential of the video presentation ]
S3 January 12 (EP)
Rayleigh - Bénard thermoconvection: weakly nonlinear analysis, supercritical bifurcation, elements on further transitions and on the case of no-slip boundary conditions; Lorenz model & chaos; confined geometry - flow reversals...
Preparation of session 3:
[ essential of the video presentation ]
Personal homework 2 due by January 19 (EP)
Before Friday, January 19, 13:30, upload on the ARCHE Page of the module a Mathematica Notebook (or Matlab program) that solves all questions of the exercises 1.4, 1.6 and 1.7, and creates the figures 1.5a, b and c asked for. Your program should be rather short and structured, with clear notations. It should include comments to render its reading understandable, and also, once the results are displayed, comments on the physics that they traduce. I should be able to rerun the program on my computer.
(all indications hereafter refer to the syntax of Mathematica)
Transition in open shear flows: generalities, the case of plane Poiseuille flow
[ essential of the video presentation ]
S5 January 22 (EP)
Transition in plane Poiseuille flow: linear and weakly nonlinear stability analysis, Tollmienn - Schlichting waves
Preparation of session 5: debug your code for discretizing the Orr - Sommerfeld equation (2.21) in the case of plane Poiseuille flow, and solve completely the questions 1 to 4 of exercise 2.2; we will restart at the level of question 5.
[ essential of the video presentation ]
S6 January 24 (EP)
Transition in plane Poiseuille flow: weakly nonlinear stability analysis, subcritical bifurcation to Tollmienn - Schlichting waves, subcritical & saddle-node bifurcations. Transition in open shear flows...
Preparation of session 6: check that you have a code that solves completely exercise 2.2, up to the creation of the file V1.m; write a code that solves completely exercise 2.4.
[ essential of the video presentation ]
S7 February 6 (JP)
Wind energy : conversion principles - Rotor blade aerodynamics
[ video presentation 1: power performance theory ; 2: towards blade design ]
S8 February 7 (JP)
Rotor blade aerodynamics - Stochastic (Langevin) power curve
[ video presentation 1: power curve and annual energy production ; 2: Langevin power curve ]
S9 February 8 (JP)
Wind field and Turbulence
Wind Energy and the Need to Understand Turbulence
Emmanuel Plaut |
Last modified: Wed Jul 4 17:56:44 CEST 2018 |